Information on Result #694661
Linear OA(25103, 321, F25, 57) (dual of [321, 218, 58]-code), using construction X applied to Ce(56) ⊂ Ce(53) based on
- linear OA(25101, 313, F25, 57) (dual of [313, 212, 58]-code), using an extension Ce(56) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(2595, 313, F25, 54) (dual of [313, 218, 55]-code), using an extension Ce(53) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(252, 8, F25, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.